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OffHilbert -> Stieltjes?

Open dlfivefifty opened this issue 8 years ago • 2 comments

Should OffHilbert be multiplied by -π and renamed Stieltjes? This matches the function call stieltjes which is now overwritten.

dlfivefifty avatar Nov 30 '15 08:11 dlfivefifty

I used to think that the calculus_operator macro was the best way forward, but could all the singular_integral_operator's benefit from their own macro/code generation? Something like SingularIntegral(one_space,...) should default to SingularIntegral(domainspace,rangespace,...) so that there is no need to distinguish between On/Off operators. Is +/- for Cauchy an issue?

MikaelSlevinsky avatar Nov 30 '15 09:11 MikaelSlevinsky

I think the +- operators make it a bit difficult. But I guess we could have the relationship:

Hilbert(f,k) = (Hilbert(+,f,k) + Hilbert(-,f,k))/2

In the special case of log kernel k = 0, all three are the same.

Sent from my iPhone

On 30 Nov 2015, at 8:20 PM, Richard Mikael Slevinsky [email protected] wrote:

I used to think that the calculus_operator macro was the best way forward, but could all the singular_integral_operator's benefit from their own macro/code generation? Something like SingularIntegral(one_space,...) should default to SingularIntegral(domainspace,rangespace,...) so that there is no need to distinguish between On/Off operators. Is +/- for Cauchy an issue?

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dlfivefifty avatar Nov 30 '15 23:11 dlfivefifty